Finding the Fourth Proportional to 397,198.42, 548,397.74 and 305,153.74
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Solution
The fourth proportional to 397,198.42, 548,397.74 and 305,153.74 is: 421,314.92
Step by Step Solution
- Step 1: Write the proportion equation
397,198.42 : 548,397.74 = 305,153.74 : x - Step 2: Convert to fraction form
397,198.42/548,397.74 = 305,153.74/x - Step 3: Cross multiply
397,198.42x = 548,397.74 × 305,153.74 - Step 4: Simplify right side
397,198.42x = 167,345,621,368.55 - Step 5: Solve for x
x = 167,345,621,368.55/397,198.42 - Step 6: Final answer
x = 421,314.92
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.